Work

Endpoint multilinear restricted weak‐type extrapolation theorem

Year: 2026

Type: article

Abstract: In this paper, we present a generalization in the context of multilinear Muckenhoupt classes of the endpoint extrapolation theorem on restricted weights due to Carro, Grafakos and Soria. Moreover, our main result is obtained on limited ranges of boundedness and, to this aim, we introduce a new limited‐range off‐diagonal extrapolation theorem in the context of restricted weights. In addition, as one of the applications, we prove endpoint estimates for certain bi‐sublinear maximal functions associated with the study of return time theorems in ergodic theory.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70427

Authors: Kangwei Li, Teresa Luque, Sheldy Ombrosi

Institutions: Zhejiang Normal University, Universidad Complutense de Madrid, Consejo Nacional de Investigaciones Científicas y Técnicas, Instituto de Matemática de Bahía Blanca, Universidad Nacional del Sur

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Ministerio de Ciencia e Innovación

Awards: G1060531829, G2153726374, G2930705435